How to Distinguish Between on-Prem and Cloud Offerings

I'm seeing some stuff from CloudFlare that they're calling a network as a service solution. And one of the examples I see is like replacing your MPLS paths between branch offices and your data centers with their magic win solution. How do you distinguish? We need a term, right? Because NASA seems to be a large umbrella that overlaps a lot with cloud offerings. It's also cloud itself, sort of, right?